The next step after addressing the amount of filtration would be to ensure that the filter is designed well enough to handle the bioload. This might be by using a wet/dry filter vs using a sump design. To be honest, from the conversations I have read through and the information provided, low flow rates are truly believed to be more beneficial to housing and stabilizing the BB within the system. Turnover would come into play when addressing the overall cleanliness of the tank by improving mechanical filtration, thus removing more detritus from the system.
To address your point, the ability to improve the effectiveness of your system by increasing the flow rate, might have something to do with the way in which the water is delivered to the bio media. To explain a bit more, the more water than you have falling onto the drip plate, would cause the water to spread farther and distribute a bit better in general. This, IMO, is where you most likely solved your problem.
So in a sense, yes, turnover can make a difference, but the rest of the links in the system must be effectively designed as well.